2013632513 has 2 divisors, whose sum is σ = 2013632514. Its totient is φ = 2013632512.

The previous prime is 2013632477. The next prime is 2013632519. The reversal of 2013632513 is 3152363102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1350415504 + 663217009 = 36748^2 + 25753^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013632513 - 2⁶ = 2013632449 is a prime.

It is not a weakly prime, because it can be changed into another prime (2013632519) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006816256 + 1006816257.

It is an arithmetic number, because the mean of its divisors is an integer number (1006816257).

Almost surely, 2^2013632513 is an apocalyptic number.

It is an amenable number.

2013632513 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013632513 is an equidigital number, since it uses as much as digits as its factorization.

2013632513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 2013632513 is about 44873.5168334286. The cubic root of 2013632513 is about 1262.7772185804. Note that the first 3 decimals are identical.

Adding to 2013632513 its reverse (3152363102), we get a palindrome (5165995615).

The spelling of 2013632513 in words is "two billion, thirteen million, six hundred thirty-two thousand, five hundred thirteen".